Question

If f(x) = 4x -3, which of the following is the inverse of f(x)?

A. F'(x) = 7x7
B. f-'(x) = ??
C. f-'(x) = 4x +
D. f-'(x) = 4x2

Answer 1

The inverse function of f(x) = 4x - 3 is found by switching x and y in the equation and solving for y. The resulting inverse function is f^-1(x) = (x + 3) / 4, which is not listed among the provided choices.

Step-by-step explanation:

To find the inverse function, we need to follow a few steps. Starting with the function f(x) = 4x - 3, we switch the x and y and then solve for y to find the inverse function f-1(x). The steps are as follows:

1. Write the function as y = 4x - 3.
2. Switch x and y to get x = 4y - 3.
3. Add 3 to both sides: x + 3 = 4y.
4. Finally, divide by 4 to solve for y: y = (x + 3) / 4.

Therefore, the inverse function is f-1(x) = (x + 3) / 4, which is not explicitly listed among the choices provided. It seems there might have been a typo in the options for the inverse function provided in the question.